The Earthly Ellipse!

A Particle is thrown from Earth, at a velocity u\displaystyle u and an angle θ\displaystyle \theta to the horizontal.

Find the Semi-major axis of the elliptical path of the particle (in Km)

Details and Assumptions:
G=6.6×1011\bullet G = 6.6\times 10^{-11}
MEarth=6×1024Kg\bullet M_{Earth} = 6\times 10^{24}Kg
REarth=6000Km\bullet R_{Earth} = 6000Km
u=10m/s\bullet u = 10m/s
θ=50o\bullet \theta = 50^o


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